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Intangible Assets (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Jul. 02, 2022
Jul. 03, 2021
Jul. 02, 2022
Jul. 03, 2021
Jan. 01, 2022
Intangible Assets [Line Items]          
Indefinite Lived Intangible Assets: $ 51,085   $ 51,085   $ 53,133
Finite Lived Intangible Assets: 1,285,787   1,285,787   905,138
Accumulated Amortization: (576,793)   (576,793)   (560,470)
Intangible Assets, Net (Excluding Goodwill) 760,079   760,079   397,801
Change in gross intangible assets 417,300        
Amortization of Intangible Assets 21,000 $ 17,000 37,500 $ 34,000  
Trade Names [Member]          
Intangible Assets [Line Items]          
Indefinite Lived Intangible Assets: 51,085   51,085   53,133
Trade Names [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 65,675   65,675   65,675
Accumulated Amortization: (49,297)   (49,297)   (46,028)
Collection Routes [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 632,804   632,804   337,399
Accumulated Amortization: (170,914)   (170,914)   (169,984)
Royalty, consulting land use and leasehold [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 24,683   24,683   25,899
Accumulated Amortization: (7,924)   (7,924)   (7,997)
Permits [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 561,930   561,930   475,520
Accumulated Amortization: (348,158)   (348,158)   (336,020)
Noncompete Agreements [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 695   695   645
Accumulated Amortization: $ (500)   $ (500)   $ (441)